Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_4^2:C_3\)
Signature \([ 0; 3, 3, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_4^2:C_3$
Group identifier: [48,3]
Signature: $[ 0; 3, 3, 4 ]$
Conjugacy classes for this refined passport: 3, 4, 6

The full automorphism group for this family is $C_4^2:C_3:C_2$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$E^{3}$
Corresponding character(s): 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.48-3.0.3-3-4.2.1

  (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,30,41) (6,31,43) (7,29,44) (8,32,42) (9,21,46) (10,24,48) (11,22,47) (12,23,45) (13,28,39) (14,25,37) (15,27,38) (16,26,40)
  (1,46,28) (2,48,25) (3,47,27) (4,45,26) (5,39,22) (6,37,23) (7,38,21) (8,40,24) (9,34,32) (10,36,29) (11,35,31) (12,33,30) (13,42,20) (14,44,17) (15,43,19) (16,41,18)
  (1,13,2,14) (3,15,4,16) (5,11,6,12) (7,9,8,10) (17,29,18,30) (19,31,20,32) (21,27,22,28) (23,25,24,26) (33,45,34,46) (35,47,36,48) (37,43,38,44) (39,41,40,42)